4087312320 has 672 divisors, whose sum is σ = 16599651840. Its totient is φ = 833863680.

The previous prime is 4087312303. The next prime is 4087312321. The reversal of 4087312320 is 232137804.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4087312320² = 33412244002447564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087312321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67005090 + ... + 67005150.

Almost surely, 2^4087312320 is an apocalyptic number.

4087312320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299825920).

4087312320 is an abundant number, since it is smaller than the sum of its proper divisors (12512339520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4087312320 is a wasteful number, since it uses less digits than its factorization.

4087312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4087312320 is about 63932.0914721238. The cubic root of 4087312320 is about 1598.8679909527.

The spelling of 4087312320 in words is "four billion, eighty-seven million, three hundred twelve thousand, three hundred twenty".